A fourth order iterative method for solving nonlinear equations
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Publication:1021661
DOI10.1016/j.amc.2009.01.047zbMath1162.65346OpenAlexW1977711281MaRDI QIDQ1021661
Publication date: 9 June 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.047
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Cites Work
- On new exponential quadratically convergent iterative formulae
- A modification of Newton method with third-order convergence
- Three-step iterative methods for nonlinear equations
- An analysis of the properties of the variants of Newton's method with third order convergence
- An iterative method with cubic convergence for nonlinear equations
- Newton-like iterative methods for solving system of non-linear equations
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- A new iteration method for solving algebraic equations
- On modified Newton methods for solving a non linear algebraic equations
- A new hybrid iteration method for solving algebraic equations
- On a class of quadratically convergent iteration formulae
- A note on the new iteration method for solving algebraic equations
- On modified Newton methods with cubic convergence
- A uniparametric Chebyshev-type method free from second derivatives
- A composite third order Newton-Steffensen method for solving nonlinear equations
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